Write and simplify a multiplication expression to represent 5^4

Mathematics

2 answers:

Viktor [21]3 years ago

6 0

Answer:

Step-by-step explanation:

5 * 5 * 5 * 5

= 625

stiks02 [169]3 years ago

5 0

ANSWER

${5}^{4} = 625$

EXPLANATION

We want to simplify the exponential expression 5⁴ by writing and simplifying a multiplication expression that represents it.

This implies that

${5}^{4} = 5 \times 5 \times 5 \times 5$

This simplifies to

${5}^{4} = 25 \times 2 5$

We finally obtain:

${5}^{4} = 625$

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How do I write this in Point Slope, Slope-Intercept, and in Standard form. Thanks for the help!

AnnZ [28]

Point slope form: y - y1 = m (x - x1)
-------------------------------------------------

first you need to find the slope(m) by using the slope formula (seen below)

y2 - y1
m= ---------
x2 - x1

9 - 15
m= ---------
1 - (-2)

-6
m= --------- = -2
3

then choose either one of the coordinates you'd like and plug it in.

Im gonna use (-2, 15)

(y - 15) = -2 (x - (-2))
or
(y - 15) = -2 (x + 2)

slope intercept form: y = mx + b
-----------------------------------------------

you can use the slope formula to find that the slope(m) is -2

y = -2x + b

you can then plug in a coordinate to find b (the y-intercept)

I'll use (-2,15)

15 = -2(-2) +b
15 = 4 + b
-4 -4
---------
11 = b

in conclusion:

the slope(m) = -2

when (-2,15) is used
x = -2
y = 15
b = 11

standard form: ax + by = c
----------------------------------------

using the same coordinate (-2,15)

-2a + 15b = c

6 0

3 years ago

which numbers are irrational? check all that apply. square root of 196, square root of 80, square root of 16, pi, square root of

Vilka [71]

Answer: $\sqrt{80}$ , $\pi$ , $\sqrt{12}$